SOLUTION: Find the function that will make the given equation an identity:
(1+ cos(2X))/ (sin(2X)) = f(x)
Algebra.Com
Question 816236: Find the function that will make the given equation an identity:
(1+ cos(2X))/ (sin(2X)) = f(x)
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
When you learned about the cos(2x) I hope you learned all three variations:- cos(2x) = cos^2(x)-sin^2(x)
- cos(2x) = 2cos^2(x)-1
- cos(2x) = 1-2sin^2(x)
While all of them will work in this problem, the one in the middle, with the -1, will work well in our numerator with its +1:
The +1 and -1 cancel:
The factors of 2 (in front) will cancel:
The cos(x) in the denominator will cancel with one of the two factors of cos(x) in the numerator:
which is equal to:
RELATED QUESTIONS
Verify the following identity by using an angle sum identity:
cos(2x) = 1 –... (answered by Alan3354,stanbon)
Sin x + cos x = sin x / 1 - cos x / sin x + cos x / 1 - sin x / cos x
Verify that the... (answered by Alan3354)
Prove the identity: {{{2Cos^2x -1 = Cos^2x... (answered by Edwin McCravy)
verify the identity:... (answered by richard1234)
cos^2x-sin^2x=2cos^2x-1 verify the... (answered by stanbon)
Prove the following identity:... (answered by Edwin McCravy)
Verify the identity:
{{{Sin(x)(1-2*Cos^2x+ Cos^4x) =... (answered by Edwin McCravy)
Solve the given equation: sin t − 1 = cos t?
I have to find an identity that... (answered by josgarithmetic)
Given the function = In(x^2-1)/sin(2x)
find the following... (answered by fractalier)